Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, Variable, l
from proveit.numbers import Exp, Mult, Sum, four, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _neg_domain

# build up the expression from sub-expressions
expr = ExprTuple(Mult(frac(one, four), Sum(index_or_indices = [l], summand = frac(one, Exp(_diff_l_scaled_delta_floor, two)), domain = _neg_domain)), Variable("_a", latex_format = r"{_{-}a}"))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\frac{1}{4} \cdot \left(\sum_{l = -2^{t - 1} + 1}^{-\left(e + 1\right)} \frac{1}{\left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}}\right), {_{-}a}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 40 operands: 3
2	Variable
3	ExprTuple	4, 5
4	Operation	operator: 15 operands: 6
5	Operation	operator: 7 operand: 10
6	ExprTuple	58, 9
7	Literal
8	ExprTuple	10
9	Literal
10	Lambda	parameter: 30 body: 12
11	ExprTuple	30
12	Conditional	value: 13 condition: 14
13	Operation	operator: 15 operands: 16
14	Operation	operator: 17 operands: 18
15	Literal
16	ExprTuple	58, 19
17	Literal
18	ExprTuple	30, 20
19	Operation	operator: 46 operands: 21
20	Operation	operator: 22 operands: 23
21	ExprTuple	24, 52
22	Literal
23	ExprTuple	25, 26
24	Operation	operator: 50 operands: 27
25	Operation	operator: 50 operands: 28
26	Operation	operator: 56 operand: 33
27	ExprTuple	30, 31
28	ExprTuple	32, 58
29	ExprTuple	33
30	Variable
31	Operation	operator: 56 operand: 37
32	Operation	operator: 56 operand: 38
33	Operation	operator: 50 operands: 36
34	ExprTuple	37
35	ExprTuple	38
36	ExprTuple	39, 58
37	Operation	operator: 40 operands: 41
38	Operation	operator: 46 operands: 42
39	Variable
40	Literal
41	ExprTuple	43, 44
42	ExprTuple	52, 45
43	Operation	operator: 46 operands: 47
44	Operation	operator: 48 operand: 53
45	Operation	operator: 50 operands: 51
46	Literal
47	ExprTuple	52, 54
48	Literal
49	ExprTuple	53
50	Literal
51	ExprTuple	54, 55
52	Literal
53	Literal
54	Literal
55	Operation	operator: 56 operand: 58
56	Literal
57	ExprTuple	58
58	Literal